Finding the Fourth Proportional to 498.71, 688.06 and 277.62

Step by Step Solution

1. Step 1: Write the proportion equation
   498.71 : 688.06 = 277.62 : x
2. Step 2: Convert to fraction form
   498.71/688.06 = 277.62/x
3. Step 3: Cross multiply
   498.71x = 688.06 × 277.62
4. Step 4: Simplify right side
   498.71x = 191,019.22
5. Step 5: Solve for x
   x = 191,019.22/498.71
6. Step 6: Final answer
   x = 383.03